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Finding the Fourth Proportional to 38,404.50, 57,629.43 and 16,216.44

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Solution

The fourth proportional to 38,404.50, 57,629.43 and 16,216.44 is: 24,334.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,404.50 : 57,629.43 = 16,216.44 : x
  2. Step 2: Convert to fraction form
    38,404.50/57,629.43 = 16,216.44/x
  3. Step 3: Cross multiply
    38,404.50x = 57,629.43 × 16,216.44
  4. Step 4: Simplify right side
    38,404.50x = 934,544,193.83
  5. Step 5: Solve for x
    x = 934,544,193.83/38,404.50
  6. Step 6: Final answer
    x = 24,334.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.